PCC-SS – Algebra II

Texas Essential Knowledge and Skills

Student Name: Campus: Grade:

Teacher: District: School Year:

*Enter month & day (ex: 3/12 of each assessment and mastery of skill)

Red- TAKS Objective

11/26/2007

PCC-SS – Algebra II

Texas Essential Knowledge and Skills

(2A.1) Foundations for functions.
The student uses properties and attributes of functions and applies functions to problem situations.
The student is expected to: / Assessments / Mast
111.33.10.1.A / identify the mathematical domains and ranges of functions and determine reasonable domain and range values for continuous and discrete situations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.1.B / collect and organize data, make and interpret scatterplots, fit the graph of a function to the data , interpret the results, and proceed to model, predict, and make decisions and critical judgments. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.2) Foundations for functions.
The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations.
The student is expected to: / Assessments / Mast
111.33.10.2.A / use tools including factoring and properties of exponents to simplify expressions and to transform and solve equations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.2.B / use complex numbers to describe the solutions of quadratic equations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.3) Foundations for functions.
The student formulates systems of equations and inequalities from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situations.
The student is expected to: / Assessments / Mast
111.33.10.3.A / analyze situations and formulate systems of equations in two or more unknowns or inequalities in two unknowns to solve problems. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.3.B / use algebraic methods, graphs, tables, or matrices, to solve systems of equations or inequalities. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.3.C / interpret and determine the reasonableness of solutions to systems of equations or inequalities for given contexts. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.4) Algebra and geometry.
The student connects algebraic and geometric representations of functions.
The student is expected to: / Assessments / Mast
10.4.A / identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x2) exponential (f(x)=ax), and logarithmic (f(x)=logax) functions , absolute value of x (f(x) = |x|), square root of x (f(x) = √x), and reciprocal of x (f(x) = 1/x). / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.4.B / extend parent functions with parameters such as a in f(x) = a/x and describe the effects of the parameter changes on the graph of parent functions. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.4.C / describe and analyze the relationship between a function and its inverse. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.5) Algebra and geometry.
The student knows the relationship between the geometric and algebraic descriptions of conic sections.
The student is expected to: / Assessments / Mast
111.33.10.5.A / describe a conic section as the intersection of a plane and a cone. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.5.B / sketch graphs of conic sections to relate simple parameter changes in the equation to corresponding changes in the graph. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.5.C / identify symmetries from graphs of conic sections. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.5.D / identify the conic section from a given equation. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.5.E / use the method of completing the square. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.6) Quadratic and square root functions.
The student understands that quadratic functions can be represented in different ways and translates among their various representations.
The student is expected to: / Assessments / Mast
111.33.10.6.A / determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.6.B / relate representations of quadratic functions, such as algebraic, tabular, graphical, and verbal descriptions. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.6.C / determine a quadratic function from its roots or a graph. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.7) Quadratic and square root functions.
The student interprets and describes the effects of changes in the parameters of quadratic functions in applied and mathematical situations.
The student is expected to: / Assessments / Mast
111.33.10.7.A / use characteristics of the quadratic parent function to sketch the related graphs and connect between the y = ax2 + bx + c and the y = a(x - h)2 + k symbolic representations of quadratic functions. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.7.B / use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x - h)2 + k form of a function in applied and purely mathematical situations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.8) Quadratic and square root functions.
The student formulates equations and inequalities based on quadratic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.
The student is expected to: / Assessments / Mast
111.33.10.8.A / analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.8.B / analyze and interpret the solutions of quadratic equations using discriminants and solve quadratic equations using the quadratic formula. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.8.C / compare and translate between algebraic and graphical solutions of quadratic equations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.8.D / solve quadratic equations and inequalities using graphs, tables, and algebraic methods. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.9) Quadratic and square root functions.
The student formulates equations and inequalities based on square root functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.
The student is expected to: / Assessments / Mast
111.33.10.9.A / use the parent function to investigate, describe, and predict the effects of parameter changes on the graphs of square root functions and describe limitations on the domains and ranges. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.B / relate representations of square root functions, such as algebraic, tabular, graphical, and verbal descriptions. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.C / determine the reasonable domain and range values of square root functions, as well as interpret and determine the reasonableness of solutions to square root equations and inequalities. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.D / determine solutions of square root equations using graphs, tables, and algebraic methods. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.E / determine solutions of square root inequalities using graphs and tables. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.F / analyze situations modeled by square root functions, formulate equations or inequalities, select a method, and solve problems. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.9.G / connect inverses of square root functions with quadratic functions. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.10) Rational functions.
The student formulates equations and inequalities based on rational functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.
The student is expected to: / Assessments / Mast
111.33.10.10.A / use quotients of polynomials to describe the graphs of rational functions, predict the effects of parameter changes, describe limitations on the domains and ranges, and examine asymptotic behavior. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.B / analyze various representations of rational functions with respect to problem situations. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.C / determine the reasonable domain and range values of rational functions, as well as interpret and determine the reasonableness of solutions to rational equations and inequalities. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.D / determine the solutions of rational equations using graphs, tables, and algebraic methods. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.E / determine solutions of rational inequalities using graphs and tables. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.F / analyze a situation modeled by a rational function, formulate an equation or inequality composed of a linear or quadratic function, and solve the problem. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.10.G / use functions to model and make predictions in problem situations involving direct and inverse variation. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
(2A.11) Exponential and logarithmic functions.
The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.
The student is expected to: / Assessments / Mast
111.33.10.11.A / develop the definition of logarithms by exploring and describing the relationship between exponential functions and their inverses. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.11.B / use the parent functions to investigate, describe, and predict the effects of parameter changes on the graphs of exponential and logarithmic functions, describe limitations on the domains and ranges, and examine asymptotic behavior. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.11.C / determine the reasonable domain and range values of exponential and logarithmic functions, as well as interpret and determine the reasonableness of solutions to exponential and logarithmic equations and inequalities. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.11.D / determine solutions of exponential and logarithmic equations using graphs, tables, and algebraic methods. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.11.E / determine solutions of exponential and logarithmic inequalities using graphs and tables. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789
111.33.10.11.F / analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem. / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789 / 010203040506070809101112/ 0123 0123456789

Red- TAKS Objective

11/26/2007